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Finding the Fourth Proportional to 188.04, 282 and 101.40

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Solution

The fourth proportional to 188.04, 282 and 101.40 is: 152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.04 : 282 = 101.40 : x
  2. Step 2: Convert to fraction form
    188.04/282 = 101.40/x
  3. Step 3: Cross multiply
    188.04x = 282 × 101.40
  4. Step 4: Simplify right side
    188.04x = 28,594.80
  5. Step 5: Solve for x
    x = 28,594.80/188.04
  6. Step 6: Final answer
    x = 152.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.